engineering mathematics MCQ #4958

Solve: tan(x) + tan(2x) + tan(3x) = 0

engineering mathematics MCQ #4958

  1. Question 1

    Q1. Solve: tan(x) + tan(2x) + tan(3x) = 0

    • A) nπ/3 or nπ ± π/6
    • B) nπ/3
    • C) nπ ± π/6
    • D) nπ/6

    Answer: nπ/3

    Explanation: Using the tangent sum identity, we simplify to tan(3x)(1 - tan(x)tan(2x)) + tan(3x) = 0, giving tan(3x) = 0, hence x = nπ/3.